31645234003968 has 768 divisors, whose sum is σ = 102365460288000. Its totient is φ = 9354419896320.

The previous prime is 31645234003963. The next prime is 31645234004023. The reversal of 31645234003968 is 86930043254613.

31645234003968 is a `hidden beast` number, since 3 + 16 + 4 + 5 + 234 + 0 + 0 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (31645234003963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17708579971 + ... + 17708581757.

It is an arithmetic number, because the mean of its divisors is an integer number (133288359750).

Almost surely, 2^{31645234003968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31645234003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51182730144000).

31645234003968 is an abundant number, since it is smaller than the sum of its proper divisors (70720226284032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31645234003968 is a wasteful number, since it uses less digits than its factorization.

31645234003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 31645234003968 in words is "thirty-one trillion, six hundred forty-five billion, two hundred thirty-four million, three thousand, nine hundred sixty-eight".